The average distances x from Mercury, Earth, Mars and Jupiter to Sun are accordingly 57.9, 149.6, 227.9 and 778.3 million km. Also, their rotation periods p around the Sun are accordingly 87.960, 365.25, 687.00 and 4337.0 days.
Formula used: $p=kx^a$, where $p$ is the rotation period in days, $a$ is the rise (for a line between two points), $x$ is the distance from the Sun to the planet in millions of kilometers and $k$ is the ordinate value.
What is the distance x for Venus and Uranus from the Sun, if the rotation periods p around the Sun are accordingly 224.7 and 30739 days.
I noticed that the distance and period graph is exponential, but I can't seem to find a way how to calculate the x for Venus and Uranus, by using the given formula. Any ideas?
EDIT: $k$ is the ordinate value and $a$ is the rise (for a line between two points)
I think the reason you're having issues solving the problem is the misconception that the distance and period graph is exponential, whereas it is not.
By using the logarithmic rules, you can find the values k anda (both constants), and therefore find the distances you are looking for.